4 citations · 7 across the 5 of their papers we have counts for
5 papers
-pseudoprimality: A natural generalization of strong pseudoprimality
John H. Castillo, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto
In this work we present a natural generalization of strong pseudoprime to base , which we have called -pseudoprime to base . It allows us to present another way to define…
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
Vladimir Shevelev, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto +1
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base ", which is a subclass of strong pseudoprimes to base . Denoting via the multiplicative o…
Pseudoprimes stronger than strong pseudoprimes
John H. Castillo, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto
We introduce a new class of pseudoprimes. In this work we characterize Midy pseudoprimes, give some of their properties and established interesting connections with other known pse…
On a particular case of the Dirichlet's theorem and the Midy's property
John H. Castillo, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto
We give new characterizations of the Midy's property and using these results we obtain a new proof of a special case of the Dirichlet's theorem about primes in arithmetic progressi…
Structure of associated sets to Midy's Property
John H. Castillo, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto
Let be a positive integer greater than 1, a positive integer relatively prime to , the order of in the multiplicative group of positive…